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glibc/sysdeps/ieee754/ldbl-96
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Adhemerval Zanella aa9c28cde3 math: Use an improved algorithm for hypotl (ldbl-96) 
This implementation is based on 'An Improved Algorithm for hypot(a,b)'
by Carlos F. Borges [1] using the MyHypot3 with the following changes:

 - Handle qNaN and sNaN.
 - Tune the 'widely varying operands' to avoid spurious underflow
   due the multiplication and fix the return value for upwards
   rounding mode.
 - Handle required underflow exception for subnormal results.

The main advantage of the new algorithm is its precision.  With a
random 1e8 input pairs in the range of [LDBL_MIN, LDBL_MAX], glibc
current implementation shows around 0.02% results with an error of
1 ulp (23158 results) while the new implementation only shows
0.0001% of total (111).

[1] https://arxiv.org/pdf/1904.09481.pdf
2021-12-13 09:02:34 -03:00
..
bits Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
include/bits Add canonicalize, canonicalizef, canonicalizel. 2016-10-26 23:14:31 +00:00
e_acoshl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
e_asinl.c Add libm_alias_finite for _finite symbols 2020-01-03 10:02:04 -03:00
e_atanhl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
e_coshl.c Add libm_alias_finite for _finite symbols 2020-01-03 10:02:04 -03:00
e_gammal_r.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
e_hypotl.c math: Use an improved algorithm for hypotl (ldbl-96) 2021-12-13 09:02:34 -03:00
e_j0l.c Adjust thresholds in Bessel function implementations (bug 14469). 2020-02-14 14:16:25 +00:00
e_j1l.c Adjust thresholds in Bessel function implementations (bug 14469). 2020-02-14 14:16:25 +00:00
e_jnl.c Add libm_alias_finite for _finite symbols 2020-01-03 10:02:04 -03:00
e_lgammal_r.c Add libm_alias_finite for _finite symbols 2020-01-03 10:02:04 -03:00
e_rem_pio2l.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
e_sinhl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
gamma_product.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
gamma_productl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
k_cosl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
k_sinl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
k_tanl.c Prefer https to http for gnu.org and fsf.org URLs 2019-09-07 02:43:31 -07:00
ldbl2mpn.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
lgamma_negl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
lgamma_product.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
lgamma_productl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
Makeconfig add workload traces for cbrtl 2021-05-10 18:45:34 +02:00
Makefile Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
math_ldbl.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
math-nan-payload-ldouble.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
mpn2ldbl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
nan-pseudo-number.h Drop nan-pseudo-number.h usage from tests 2021-01-04 20:49:56 +05:30
printf_fphex.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_asinhl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_cbrtl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_copysignl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_cosl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_daddl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_ddivl.c Fix f64xdivf128, f64xmulf128 spurious underflows (bug 28358) 2021-09-21 21:54:37 +00:00
s_dfmal.c Add narrowing fma functions 2021-09-22 21:25:31 +00:00
s_dmull.c Fix f64xdivf128, f64xmulf128 spurious underflows (bug 28358) 2021-09-21 21:54:37 +00:00
s_dsqrtl.c Add narrowing square root functions 2021-09-10 20:56:22 +00:00
s_dsubl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_erfl.c Prefer https to http for gnu.org and fsf.org URLs 2019-09-07 02:43:31 -07:00
s_faddl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_fdivl.c Fix f64xdivf128, f64xmulf128 spurious underflows (bug 28358) 2021-09-21 21:54:37 +00:00
s_ffmal.c Add narrowing fma functions 2021-09-22 21:25:31 +00:00
s_fma.c Add narrowing fma functions 2021-09-22 21:25:31 +00:00
s_fmal.c Redirect fma calls to __fma in libm 2021-09-15 22:57:35 +00:00
s_fmull.c Fix f64xdivf128, f64xmulf128 spurious underflows (bug 28358) 2021-09-21 21:54:37 +00:00
s_frexpl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_fromfpl_main.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_fromfpl.c Use libm_alias_ldouble for ldbl-96 functions. 2017-10-05 21:13:40 +00:00
s_fromfpxl.c Use libm_alias_ldouble for ldbl-96 functions. 2017-10-05 21:13:40 +00:00
s_fsqrtl.c Add narrowing square root functions 2021-09-10 20:56:22 +00:00
s_fsubl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_getpayloadl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_iscanonicall.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_issignalingl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_llrintl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_llroundl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_lrintl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_lroundl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_modfl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_nexttoward.c Do not include math-barriers.h in math_private.h. 2018-05-11 15:11:38 +00:00
s_nexttowardf.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_nextupl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_remquol.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_roundevenl.c math: redirect roundeven function 2021-06-27 07:56:57 -07:00
s_roundl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_scalblnl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_setpayloadl_main.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_setpayloadl.c Use libm_alias_ldouble for ldbl-96 functions. 2017-10-05 21:13:40 +00:00
s_setpayloadsigl.c Use libm_alias_ldouble for ldbl-96 functions. 2017-10-05 21:13:40 +00:00
s_signbitl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_sincosl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_sinl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_tanhl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_tanl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
s_totalorderl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_totalordermagl.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
s_ufromfpl.c Use libm_alias_ldouble for ldbl-96 functions. 2017-10-05 21:13:40 +00:00
s_ufromfpxl.c Use libm_alias_ldouble for ldbl-96 functions. 2017-10-05 21:13:40 +00:00
strtold_l.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
t_sincosl.c Remove "Contributed by" lines 2021-09-03 22:06:44 +05:30
test-canonical-ldbl-96.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
test-sinl-pseudo.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
test-totalorderl-ldbl-96.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
x2y2m1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
x2y2m1l.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00